Let's use a two-slit interference experiment to determine
the unknown wavelength of a laser light source, as shown
in (Figure 1). With the slits 0.200 mm apart and a screen
at a distance of 1.00 m, the third bright band out from the.
central bright band is found to be 9.49 mm from the
center of the screen. (a) What is the wavelength of the
light? (b) How far apart would the slits have to be so that
the fourth minimum (dark band) would occur at 9.49 mm
from the center of the screen?
Figure
Slits
H
0.200 mm
MAY
↑
9.49 mm
KR=1.00 m-
37
<
-
1 of 1
3
m 2
E
772
m
m
m
Screen
IL
11
20
Part A Practice Problem:
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Part (b): For destructive interference, and therefore a minimum, m = 0 gives the first minimum, m = 1 the second,
m=2 the third, and m = 3 the fourth. Thus,
(m+¹) AR (3+¹)(6.33×10-7 m) (1.00 m)
9.49×10-3 m
Ym
2.33 × 10-4 m = 0.233 mm
REFLECT This wavelength corresponds to the red light from a helium-neon laser.
1.9.10 6
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If a laser pointer with λ = 436 nm is used, where would the screen have to be placed in order to find the third
bright fringe 9.49 mm from the central fringe?
Express your answer with the appropriate units.
O
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U.00 A LU
m
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